{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k近邻 KNN\n",
    "\n",
    "> 理论 《统计学习方法》第三章 k近邻法\n",
    "> \n",
    "> 代码 numpy version && torch version\n",
    ">\n",
    "> Python3.7"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以回归也可以分类。\n",
    "\n",
    "其实就是根据新的样本点到训练集中样本距离选出最相近的K个实例，然后进行多数表决\n",
    "\n",
    "KNN其实并不需要训练，每次预测都是遍历整个数据集\n",
    "\n",
    "三要素：距离度量，K值选择，分类决策规则"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 距离度量\n",
    "\n",
    "$L_p$距离，常用的就是欧式距离\n",
    "\n",
    "然后余弦..."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 分类决策规则\n",
    "\n",
    "多数表决啥的"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### KNN的实现：KD树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_fig(x,y):\n",
    "    plt.figure(dpi=64,figsize=(4,4))\n",
    "\n",
    "    # 正负实例的散点图，这儿使用了一个Bool索引，切片混合索引\n",
    "    # plt.scatter(x[y==1][:,0],x[y==1][:,1],color='r')\n",
    "    # plt.scatter(x[y==0][:,0],x[y==0][:,1],color='g')\n",
    "    plt.scatter(x[:,0],x[:,1],c=y)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(200, 2)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 256x256 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train = np.array([[3.,3.],[4,3],[5,5],[1,1],[0,0],[1,0],[4,2]])\n",
    "y_train = np.array([1,1,1,0,0,0,1])\n",
    "\n",
    "x_train,y_train = make_blobs(n_samples=200,n_features=2,centers=2,random_state=8)\n",
    "print(x_train.shape)\n",
    "draw_fig(x_train,y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "numpy实现的简单KNN分类与回归"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "分类任务：[2, 8] label 0\n",
      "回归任务：[2, 8] label 0.0000\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "numpy实现的简单KNN分类与回归\n",
    "\"\"\"\n",
    "\n",
    "# 计算欧式距离\n",
    "def CalcDistance(x,y):\n",
    "    return np.sqrt(np.sum( (x-y)**2, axis=1) )\n",
    "\n",
    "# 返回排序好的距离和对应索引\n",
    "def getSortedDistance(x,y):\n",
    "    \"\"\"\n",
    "    x: 训练样本集\n",
    "    y: 需要新分类的样本点\n",
    "    \"\"\"\n",
    "    dlist = CalcDistance(x,np.array(y))\n",
    "    index = np.argsort(dlist)\n",
    "    dlist.sort()\n",
    "    return dlist,index\n",
    "\n",
    "# 用于分类的KNN，采用前K个多数表决的方法\n",
    "def KNNCla(x,y,v,k=3):\n",
    "    dlist,index = getSortedDistance(x,v)\n",
    "    yhat = y[index[:k]] # 距离相近前K个的标签\n",
    "    yhat = np.argmax(np.bincount(yhat)) # 找到出现最多次数的那个标签\n",
    "    return yhat\n",
    "\n",
    "# 用于回归\n",
    "def KNNReg(x,y,v,k=3):\n",
    "    dlist,index = getSortedDistance(x,v)\n",
    "    yhat = 0\n",
    "    for i in range(k):\n",
    "        yhat += y[index[i]]\n",
    "    yhat /= k\n",
    "    return yhat\n",
    "\n",
    "sample = [2,8]\n",
    "print(\"分类任务：{} label {}\".format(sample,KNNCla(x_train,y_train,sample)))\n",
    "print(\"回归任务：{} label {:.4f}\".format(sample,KNNReg(x_train,y_train,sample)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "[1, 1]"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_t = torch.from_numpy(x_train).float()\n",
    "y_t = torch.from_numpy(y_train).float()\n",
    "s_t = torch.Tensor([[2,2],[5,5]]).float()\n",
    "sl_t = torch.Tensor([0,0]).float()\n",
    "\n",
    "def cal_distance(x,y):\n",
    "    return torch.sum((x-y)**2)*0.5\n",
    "\n",
    "# 基于torch矩阵计算实现的KNN，x,y是训练的样本数据集，s是要预测的,sl是预测的正确标签\n",
    "def KNNtorch(x,y,s,k=3):\n",
    "    m = s.size(0)\n",
    "    n = x.size(0)\n",
    "    xx = (s**2).sum(dim=1,keepdim=True).expand(m,n)\n",
    "    yy = (x**2).sum(dim=1,keepdim=True).expand(n,m).transpose(0,1)\n",
    "    dist_mat = xx + yy - 2*s.matmul(x.transpose(0,1))\n",
    "    mink_idxs = dist_mat.argsort(dim=-1)\n",
    "    res = []\n",
    "    \n",
    "    for idxs in mink_idxs:\n",
    "        yhat = y[idxs[:k]] # 距离相近前K个的标签\n",
    "        yhat = np.argmax(np.bincount(yhat)) # 找到出现最多次数的那个标签\n",
    "        res.append(yhat)\n",
    "    return res\n",
    "\n",
    "KNNtorch(x_t,y_t,s_t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 256x256 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x,y = make_blobs(n_samples=200,centers=2,random_state=8)\n",
    "draw_fig(x,y)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 使用sklearn实现KNN"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf = KNeighborsClassifier()\n",
    "clf.fit(x,y)\n",
    "\n",
    "x_min,x_max = x[:,0].min()-1,x[:,0].max()+1\n",
    "y_min,y_max = x[:,1].min()-1,x[:,1].max()+1\n",
    "xx,yy = np.meshgrid(np.arange(x_min,x_max,.1),np.arange(y_min,y_max,.1))\n",
    "# print(len(xx))\n",
    "# print(xx.shape)\n",
    "z = clf.predict(np.c_[xx.ravel(),yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "plt.pcolormesh(xx,yy,z)\n",
    "plt.scatter(x[:,0],x[:,1],c=y,cmap=plt.cm.spring,edgecolor='k')\n",
    "plt.xlim(xx.min(),xx.max())\n",
    "plt.ylim(yy.min(),yy.max())\n",
    "\n",
    "test_x = [6.75,4.82]\n",
    "plt.scatter(test_x[0],test_x[1],marker='*',c='r',s=200)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "predict  [1]\n"
     ]
    }
   ],
   "source": [
    "print('predict ',clf.predict([test_x]))"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### sklearn KNN处理多分类"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 256x256 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x,y = make_blobs(n_samples=500,centers=5,random_state=8)\n",
    "draw_fig(x,y)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf = KNeighborsClassifier()\n",
    "clf.fit(x,y)\n",
    "\n",
    "x_min,x_max = x[:,0].min()-1,x[:,0].max()+1\n",
    "y_min,y_max = x[:,1].min()-1,x[:,1].max()+1\n",
    "xx,yy = np.meshgrid(np.arange(x_min,x_max,.1),np.arange(y_min,y_max,.1))\n",
    "# print(len(xx))\n",
    "# print(xx.shape)\n",
    "z = clf.predict(np.c_[xx.ravel(),yy.ravel()])\n",
    "z = z.reshape(xx.shape)\n",
    "plt.pcolormesh(xx,yy,z)\n",
    "plt.scatter(x[:,0],x[:,1],c=y,cmap=plt.cm.spring,edgecolor='k')\n",
    "plt.xlim(xx.min(),xx.max())\n",
    "plt.ylim(yy.min(),yy.max())\n",
    "\n",
    "test_x = [6.75,4.82]\n",
    "plt.scatter(test_x[0],test_x[1],marker='*',c='r',s=200)\n",
    "plt.show()\n"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "acc 0.9560\n"
     ]
    }
   ],
   "source": [
    "print('acc {:.4f}'.format(clf.score(x,y)))"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### KNN 回归"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import  make_regression\n",
    "\n",
    "x,y = make_regression(n_features=1,n_informative=1,noise=50,random_state=8)\n",
    "plt.scatter(x,y,c='orange',edgecolors='k')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "\n",
    "reg = KNeighborsRegressor(n_neighbors=2)\n",
    "reg.fit(x,y)\n",
    "z = np.linspace(-3,3,200).reshape(-1,1)\n",
    "plt.scatter(x,y,c='orange',edgecolor='k')\n",
    "plt.plot(z,reg.predict(z),c='k',linewidth=3)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score 0.8582\n"
     ]
    }
   ],
   "source": [
    "print('score {:.4f}'.format(reg.score(x,y)))"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "3c874ee3d65450ef899cacaa06bdca40f9e4450c5e631a94911db3215dbda5b8"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
